Ill‐posedness in three‐dimensional plastic flow

Document Type

Article

Publication Date

1-1-1988

Abstract

This paper examines partial differential equations for frictional materials flowing via plastic yield, including the equations given by the Critical State Theory of Soil Mechanics. In particular, the material density is considered as a dependent variable. In previous work we demonstrated that two‐dimensional plastic flow may be ill posed due to an instability along two rays in Fourier transform space. In this paper, we show that in three dimensions the equations are linearly well posed provided all three strain rates are nonzero. Copyright © 1988 Wiley Periodicals, Inc., A Wiley Company

Identifier

0004886461 (Scopus)

Publication Title

Communications on Pure and Applied Mathematics

External Full Text Location

https://doi.org/10.1002/cpa.3160410703

e-ISSN

10970312

ISSN

00103640

First Page

879

Last Page

890

Issue

7

Volume

41

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